calculation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 210,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5%  100/19448it  est: 129.9s  148.893it/s  record lenth: 0\n",
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     ]
    }
   ],
   "source": [
    "from math import comb\n",
    "from time import time\n",
    "from itertools import combinations, permutations\n",
    "from numpy import double, matrix\n",
    "import numpy\n",
    "from sympy import Matrix\n",
    "from IPython.display import clear_output\n",
    "\n",
    "m = []\n",
    "total_food = 24\n",
    "with open(\"nutrition.txt\", 'r') as f:\n",
    "    for _ in range(7):\n",
    "        line = f.readline()\n",
    "        line = line[:-1]\n",
    "        t = line.split('\\t')\n",
    "        for i in range(len(t)):\n",
    "            t[i] = double(t[i])\n",
    "        m.append(t)\n",
    "\n",
    "m = numpy.array(m)\n",
    "index = 7\n",
    "m = m[:,index:]\n",
    "total_food -= index\n",
    "m = m.transpose() \n",
    "record = []\n",
    "orders = combinations(range(total_food), 7)\n",
    "iter = 0\n",
    "total_times = comb(total_food, 7)\n",
    "total_time = 0.\n",
    "start = time()\n",
    "for i in orders:\n",
    "    iter += 1\n",
    "    if iter % 100 == 0:\n",
    "        total_time = time() - start\n",
    "        est = iter / total_time\n",
    "        est = (total_times - iter) / est\n",
    "        print(f\"{round(iter/total_times*100, 1)}%  {iter}/{total_times}it  est: {round(est,1)}s  {round(iter/total_time,3)}it/s  record lenth: {len(record)}\")\n",
    "        \n",
    "        \n",
    "    matrix = numpy.zeros((8,7))\n",
    "    t = 0\n",
    "    for j in i:\n",
    "        matrix[t,:] = m[j,:]\n",
    "        t += 1\n",
    "    \n",
    "    matrix[7,:] = m[total_food,:]\n",
    "    matrix = matrix.transpose()\n",
    "    matrix = Matrix(matrix)\n",
    "    result = matrix.rref()\n",
    "    piviot = result[1]\n",
    "    result = result[0].T[7,:]\n",
    "    result = result.tolist()[0]\n",
    "    check = True\n",
    "    for k in range(len(result)):\n",
    "        result[k] = round(result[k], 5)\n",
    "        if result[k] <0 : check = False\n",
    "        \n",
    "    if check and piviot == (0,1,2,3,4,5,6):\n",
    "        position = list(i)\n",
    "        position = [i + index for i in position]\n",
    "        record.append((position,result))\n",
    "    \n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dump_result(a):\n",
    "    with open(\"results.txt\", 'w') as f:\n",
    "        for i in a:\n",
    "            f.write(f\"position(start from 0): {str(i[0])}, results: {str(i[1])}\")  \n",
    "            f.write(\"\\n\")\n",
    "            \n",
    "dump_result(record)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Tomato Sauce', 'Caesar Salad Sauce', 'Béchamel Sauce', 'Hot Sauce', 'Barbeque Sauce', 'Old Dry Mother', 'Cocktail Sauce', 'Mayonnaise', 'Black Pepper Sauce', 'Melinda red Savina pepper sauce', 'Coke', 'Tree Fern', 'Sea Cucumber', 'Pizza', 'Rice Paper', 'Water Convolvulus', 'Water', 'Cactus', 'Vodka', 'Marshmallow', 'Cocoa', 'Sea Lion Meat', 'Shark', 'Cannabis Seed']\n",
      "Diet #1\n",
      "Mayonnaise..............................86.979 grams\n",
      "Black Pepper Sauce......................24.327 grams\n",
      "Coke....................................4478.460 grams\n",
      "Tree Fern...............................198.142 grams\n",
      "Sea Cucumber............................1478.946 grams\n",
      "Pizza...................................33.579 grams\n",
      "Cactus..................................328.575 grams\n",
      "Diet #2\n",
      "Mayonnaise..............................91.832 grams\n",
      "Black Pepper Sauce......................75.219 grams\n",
      "Coke....................................4344.408 grams\n",
      "Tree Fern...............................272.742 grams\n",
      "Sea Cucumber............................1591.023 grams\n",
      "Water Convolvulus.......................14.868 grams\n",
      "Water...................................3277.983 grams\n",
      "Diet #3\n",
      "Mayonnaise..............................91.911 grams\n",
      "Black Pepper Sauce......................78.678 grams\n",
      "Coke....................................4331.725 grams\n",
      "Tree Fern...............................282.141 grams\n",
      "Sea Cucumber............................1504.262 grams\n",
      "Water...................................2426.765 grams\n",
      "Cactus..................................57.609 grams\n",
      "Diet #4\n",
      "Mayonnaise..............................107.404 grams\n",
      "Black Pepper Sauce......................7.463 grams\n",
      "Tree Fern...............................260.032 grams\n",
      "Sea Cucumber............................2225.196 grams\n",
      "Water Convolvulus.......................21.801 grams\n",
      "Water...................................5646.898 grams\n",
      "Vodka...................................774.093 grams\n",
      "Diet #5\n",
      "Mayonnaise..............................107.452 grams\n",
      "Black Pepper Sauce......................12.818 grams\n",
      "Tree Fern...............................273.850 grams\n",
      "Sea Cucumber............................2095.442 grams\n",
      "Water...................................4390.343 grams\n",
      "Cactus..................................84.356 grams\n",
      "Vodka...................................770.784 grams\n",
      "Diet #6\n",
      "Mayonnaise..............................89.834 grams\n",
      "Melinda red Savina pepper sauce.........3.901 grams\n",
      "Coke....................................4633.984 grams\n",
      "Tree Fern...............................176.758 grams\n",
      "Sea Cucumber............................1577.462 grams\n",
      "Pizza...................................19.143 grams\n",
      "Cactus..................................397.555 grams\n",
      "Diet #7\n",
      "Mayonnaise..............................92.449 grams\n",
      "Melinda red Savina pepper sauce.........4.988 grams\n",
      "Coke....................................4676.119 grams\n",
      "Tree Fern...............................160.539 grams\n",
      "Sea Cucumber............................2060.200 grams\n",
      "Water Convolvulus.......................76.070 grams\n",
      "Water...................................5447.941 grams\n",
      "Diet #8\n",
      "Mayonnaise..............................93.124 grams\n",
      "Melinda red Savina pepper sauce.........6.436 grams\n",
      "Coke....................................4692.353 grams\n",
      "Tree Fern...............................187.291 grams\n",
      "Sea Cucumber............................1648.825 grams\n",
      "Water...................................705.663 grams\n",
      "Cactus..................................363.576 grams\n",
      "Diet #9\n",
      "Mayonnaise..............................107.571 grams\n",
      "Melinda red Savina pepper sauce.........0.463 grams\n",
      "Tree Fern...............................249.526 grams\n",
      "Sea Cucumber............................2273.247 grams\n",
      "Water Convolvulus.......................27.532 grams\n",
      "Water...................................5865.135 grams\n",
      "Vodka...................................779.580 grams\n",
      "Diet #10\n",
      "Mayonnaise..............................107.834 grams\n",
      "Melinda red Savina pepper sauce.........0.980 grams\n",
      "Tree Fern...............................259.298 grams\n",
      "Sea Cucumber............................2124.956 grams\n",
      "Water...................................4153.106 grams\n",
      "Cactus..................................131.296 grams\n",
      "Vodka...................................780.558 grams\n",
      "Diet #11\n",
      "Mayonnaise..............................87.784 grams\n",
      "Coke....................................4476.073 grams\n",
      "Tree Fern...............................180.187 grams\n",
      "Sea Cucumber............................1579.228 grams\n",
      "Pizza...................................31.746 grams\n",
      "Rice Paper..............................13.251 grams\n",
      "Cactus..................................386.493 grams\n",
      "Diet #12\n",
      "Mayonnaise..............................86.186 grams\n",
      "Coke....................................4564.234 grams\n",
      "Tree Fern...............................136.188 grams\n",
      "Sea Cucumber............................1998.701 grams\n",
      "Pizza...................................35.764 grams\n",
      "Water Convolvulus.......................89.352 grams\n",
      "Water...................................4957.586 grams\n",
      "Diet #13\n",
      "Mayonnaise..............................85.025 grams\n",
      "Coke....................................4547.750 grams\n",
      "Tree Fern...............................156.166 grams\n",
      "Sea Cucumber............................1563.063 grams\n",
      "Pizza...................................46.300 grams\n",
      "Water Convolvulus.......................16.059 grams\n",
      "Cactus..................................369.008 grams\n",
      "Diet #14\n",
      "Mayonnaise..............................89.537 grams\n",
      "Coke....................................3545.345 grams\n",
      "Tree Fern...............................181.252 grams\n",
      "Sea Cucumber............................1605.347 grams\n",
      "Pizza...................................39.596 grams\n",
      "Cactus..................................383.059 grams\n",
      "Vodka...................................170.717 grams\n",
      "Diet #15\n",
      "Mayonnaise..............................88.985 grams\n",
      "Coke....................................4126.399 grams\n",
      "Tree Fern...............................180.048 grams\n",
      "Sea Cucumber............................1592.152 grams\n",
      "Pizza...................................31.635 grams\n",
      "Cactus..................................386.943 grams\n",
      "Marshmallow.............................56.528 grams\n",
      "Diet #16\n",
      "Mayonnaise..............................86.335 grams\n",
      "Coke....................................4552.052 grams\n",
      "Tree Fern...............................182.069 grams\n",
      "Sea Cucumber............................1575.222 grams\n",
      "Pizza...................................38.271 grams\n",
      "Cactus..................................380.422 grams\n",
      "Cocoa...................................0.941 grams\n",
      "Diet #17\n",
      "Mayonnaise..............................86.283 grams\n",
      "Coke....................................4482.570 grams\n",
      "Tree Fern...............................177.729 grams\n",
      "Sea Cucumber............................1450.781 grams\n",
      "Pizza...................................35.711 grams\n",
      "Cactus..................................394.423 grams\n",
      "Sea Lion Meat...........................48.933 grams\n",
      "Diet #18\n",
      "Mayonnaise..............................86.200 grams\n",
      "Coke....................................4543.267 grams\n",
      "Tree Fern...............................181.537 grams\n",
      "Sea Cucumber............................1576.900 grams\n",
      "Pizza...................................34.507 grams\n",
      "Cactus..................................382.139 grams\n",
      "Shark...................................8.164 grams\n",
      "Diet #19\n",
      "Mayonnaise..............................86.052 grams\n",
      "Coke....................................4550.184 grams\n",
      "Tree Fern...............................182.103 grams\n",
      "Sea Cucumber............................1579.284 grams\n",
      "Pizza...................................38.543 grams\n",
      "Cactus..................................380.279 grams\n",
      "Cannabis Seed...........................0.615 grams\n",
      "Diet #20\n",
      "Mayonnaise..............................92.871 grams\n",
      "Coke....................................4395.802 grams\n",
      "Tree Fern...............................191.006 grams\n",
      "Sea Cucumber............................2086.147 grams\n",
      "Rice Paper..............................31.482 grams\n",
      "Water Convolvulus.......................59.451 grams\n",
      "Water...................................5515.672 grams\n",
      "Diet #21\n",
      "Mayonnaise..............................93.457 grams\n",
      "Coke....................................4347.936 grams\n",
      "Tree Fern...............................217.167 grams\n",
      "Sea Cucumber............................1789.349 grams\n",
      "Rice Paper..............................38.197 grams\n",
      "Water...................................2044.868 grams\n",
      "Cactus..................................267.204 grams\n",
      "Diet #22\n",
      "Mayonnaise..............................95.649 grams\n",
      "Coke....................................3573.204 grams\n",
      "Tree Fern...............................190.176 grams\n",
      "Sea Cucumber............................2117.141 grams\n",
      "Water Convolvulus.......................59.904 grams\n",
      "Water...................................5525.370 grams\n",
      "Marshmallow.............................133.208 grams\n",
      "Diet #23\n",
      "Mayonnaise..............................91.945 grams\n",
      "Coke....................................4584.831 grams\n",
      "Tree Fern...............................244.419 grams\n",
      "Sea Cucumber............................2108.422 grams\n",
      "Water Convolvulus.......................30.317 grams\n",
      "Water...................................5613.938 grams\n",
      "Cocoa...................................4.029 grams\n",
      "Diet #24\n",
      "Mayonnaise..............................90.412 grams\n",
      "Coke....................................4361.798 grams\n",
      "Tree Fern...............................199.993 grams\n",
      "Sea Cucumber............................1738.632 grams\n",
      "Water Convolvulus.......................54.549 grams\n",
      "Water...................................6036.854 grams\n",
      "Sea Lion Meat...........................154.670 grams\n",
      "Diet #25\n",
      "Mayonnaise..............................89.761 grams\n",
      "Coke....................................4552.782 grams\n",
      "Tree Fern...............................208.669 grams\n",
      "Sea Cucumber............................2084.937 grams\n",
      "Water Convolvulus.......................49.817 grams\n",
      "Water...................................5476.104 grams\n",
      "Shark...................................23.997 grams\n",
      "Diet #26\n",
      "Mayonnaise..............................90.888 grams\n",
      "Coke....................................4577.240 grams\n",
      "Tree Fern...............................248.312 grams\n",
      "Sea Cucumber............................2129.416 grams\n",
      "Water Convolvulus.......................28.169 grams\n",
      "Water...................................5627.904 grams\n",
      "Cannabis Seed...........................2.721 grams\n",
      "Diet #27\n",
      "Mayonnaise..............................96.838 grams\n",
      "Coke....................................3347.797 grams\n",
      "Tree Fern...............................216.400 grams\n",
      "Sea Cucumber............................1824.269 grams\n",
      "Water...................................2024.525 grams\n",
      "Cactus..................................269.677 grams\n",
      "Marshmallow.............................161.887 grams\n",
      "Diet #28\n",
      "Mayonnaise..............................92.125 grams\n",
      "Coke....................................4581.349 grams\n",
      "Tree Fern...............................261.758 grams\n",
      "Sea Cucumber............................1973.590 grams\n",
      "Water...................................4021.214 grams\n",
      "Cactus..................................123.363 grams\n",
      "Cocoa...................................4.426 grams\n",
      "Diet #29\n",
      "Mayonnaise..............................90.467 grams\n",
      "Coke....................................4312.098 grams\n",
      "Tree Fern...............................225.311 grams\n",
      "Sea Cucumber............................1404.172 grams\n",
      "Water...................................3007.527 grams\n",
      "Cactus..................................240.934 grams\n",
      "Sea Lion Meat...........................184.420 grams\n",
      "Diet #30\n",
      "Mayonnaise..............................89.698 grams\n",
      "Coke....................................4541.136 grams\n",
      "Tree Fern...............................232.910 grams\n",
      "Sea Cucumber............................1844.338 grams\n",
      "Water...................................2658.106 grams\n",
      "Cactus..................................216.420 grams\n",
      "Shark...................................28.143 grams\n",
      "Diet #31\n",
      "Mayonnaise..............................90.957 grams\n",
      "Coke....................................4573.337 grams\n",
      "Tree Fern...............................264.664 grams\n",
      "Sea Cucumber............................2006.911 grams\n",
      "Water...................................4159.537 grams\n",
      "Cactus..................................113.829 grams\n",
      "Cannabis Seed...........................2.968 grams\n",
      "Diet #32\n",
      "Mayonnaise..............................106.943 grams\n",
      "Tree Fern...............................247.013 grams\n",
      "Sea Cucumber............................2266.927 grams\n",
      "Pizza...................................3.394 grams\n",
      "Water Convolvulus.......................28.902 grams\n",
      "Water...................................5817.656 grams\n",
      "Vodka...................................777.810 grams\n",
      "Diet #33\n",
      "Mayonnaise..............................106.454 grams\n",
      "Tree Fern...............................254.756 grams\n",
      "Sea Cucumber............................2094.244 grams\n",
      "Pizza...................................7.607 grams\n",
      "Water...................................3855.643 grams\n",
      "Cactus..................................145.947 grams\n",
      "Vodka...................................776.699 grams\n",
      "Diet #34\n",
      "Mayonnaise..............................107.524 grams\n",
      "Tree Fern...............................251.993 grams\n",
      "Sea Cucumber............................2274.540 grams\n",
      "Rice Paper..............................3.091 grams\n",
      "Water Convolvulus.......................26.186 grams\n",
      "Water...................................5869.329 grams\n",
      "Vodka...................................774.992 grams\n",
      "Diet #35\n",
      "Mayonnaise..............................107.713 grams\n",
      "Tree Fern...............................263.292 grams\n",
      "Sea Cucumber............................2142.103 grams\n",
      "Rice Paper..............................6.204 grams\n",
      "Water...................................4329.512 grams\n",
      "Cactus..................................118.413 grams\n",
      "Vodka...................................771.253 grams\n",
      "Diet #36\n",
      "Mayonnaise..............................107.528 grams\n",
      "Tree Fern...............................250.547 grams\n",
      "Sea Cucumber............................2274.037 grams\n",
      "Water Convolvulus.......................26.974 grams\n",
      "Water...................................5862.658 grams\n",
      "Vodka...................................757.864 grams\n",
      "Marshmallow.............................15.732 grams\n",
      "Diet #37\n",
      "Mayonnaise..............................107.496 grams\n",
      "Tree Fern...............................257.289 grams\n",
      "Sea Cucumber............................2277.411 grams\n",
      "Water Convolvulus.......................23.297 grams\n",
      "Water...................................5880.053 grams\n",
      "Vodka...................................778.142 grams\n",
      "Cocoa...................................0.381 grams\n",
      "Diet #38\n",
      "Mayonnaise..............................107.269 grams\n",
      "Tree Fern...............................252.835 grams\n",
      "Sea Cucumber............................2240.040 grams\n",
      "Water Convolvulus.......................25.727 grams\n",
      "Water...................................5920.584 grams\n",
      "Vodka...................................774.400 grams\n",
      "Sea Lion Meat...........................15.291 grams\n",
      "Diet #39\n",
      "Mayonnaise..............................107.278 grams\n",
      "Tree Fern...............................253.880 grams\n",
      "Sea Cucumber............................2275.065 grams\n",
      "Water Convolvulus.......................25.156 grams\n",
      "Water...................................5866.767 grams\n",
      "Vodka...................................777.625 grams\n",
      "Shark...................................2.282 grams\n",
      "Diet #40\n",
      "Mayonnaise..............................107.393 grams\n",
      "Tree Fern...............................257.655 grams\n",
      "Sea Cucumber............................2279.372 grams\n",
      "Water Convolvulus.......................23.095 grams\n",
      "Water...................................5881.333 grams\n",
      "Vodka...................................778.020 grams\n",
      "Cannabis Seed...........................0.258 grams\n",
      "Diet #41\n",
      "Mayonnaise..............................107.733 grams\n",
      "Tree Fern...............................261.003 grams\n",
      "Sea Cucumber............................2132.805 grams\n",
      "Water...................................4219.699 grams\n",
      "Cactus..................................125.796 grams\n",
      "Vodka...................................735.563 grams\n",
      "Marshmallow.............................32.567 grams\n",
      "Diet #42\n",
      "Mayonnaise..............................107.624 grams\n",
      "Tree Fern...............................270.607 grams\n",
      "Sea Cucumber............................2173.682 grams\n",
      "Water...................................4655.744 grams\n",
      "Cactus..................................94.816 grams\n",
      "Vodka...................................777.688 grams\n",
      "Cocoa...................................0.688 grams\n",
      "Diet #43\n",
      "Mayonnaise..............................107.204 grams\n",
      "Tree Fern...............................264.562 grams\n",
      "Sea Cucumber............................2078.636 grams\n",
      "Water...................................4483.866 grams\n",
      "Cactus..................................114.318 grams\n",
      "Vodka...................................770.213 grams\n",
      "Sea Lion Meat...........................30.160 grams\n",
      "Diet #44\n",
      "Mayonnaise..............................107.223 grams\n",
      "Tree Fern...............................266.078 grams\n",
      "Sea Cucumber............................2153.168 grams\n",
      "Water...................................4441.431 grams\n",
      "Cactus..................................109.426 grams\n",
      "Vodka...................................776.619 grams\n",
      "Shark...................................4.407 grams\n",
      "Diet #45\n",
      "Mayonnaise..............................107.439 grams\n",
      "Tree Fern...............................271.057 grams\n",
      "Sea Cucumber............................2178.814 grams\n",
      "Water...................................4677.102 grams\n",
      "Cactus..................................93.339 grams\n",
      "Vodka...................................777.476 grams\n",
      "Cannabis Seed...........................0.462 grams\n"
     ]
    }
   ],
   "source": [
    "items = \"Tomato Sauce\tCaesar Salad Sauce\tBéchamel Sauce\tHot Sauce\tBarbeque Sauce\tOld Dry Mother\tCocktail Sauce\tMayonnaise\tBlack Pepper Sauce\tMelinda red Savina pepper sauce\tCoke\tTree Fern\tSea Cucumber\tPizza\tRice Paper\tWater Convolvulus\tWater\tCactus\tVodka\tMarshmallow\tCocoa\tSea Lion Meat\tShark\tCannabis Seed\"\n",
    "items = items.split(\"\\t\")\n",
    "print(items)\n",
    "count = 0\n",
    "\n",
    "for i in record:\n",
    "    count += 1\n",
    "    print(f\"Diet #{count}\")\n",
    "    for name, amount in zip(i[0], i[1]):\n",
    "        print(f\"{items[name]:.<40}{amount * 100} grams\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[8, 9, 10, 11, 15, 19, 22]\n"
     ]
    }
   ],
   "source": []
  }
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